Page 1 CBSE TEST PAPER-01 CLASS - XII MATHEMATICS (Probability) Topic: Probability 1. In a school there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII given that the chosen student is a girl? [4] 2. A die thrown three times. Events A and B are defined as below. A : 4 on the third throw B : 6 on the first and 5 on the second throw. Find the probability of A given that B has already occurred. [4] 3. Mother, father and son line up at random for a family picture E : Son on one end F : Father in middle Find (E |F) [4] 4. An instructor has a question bank consisting of 300 easy True / False questions, 200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question? [4] 5. If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1 – P ( A' ) P ( B' ). [4] 6. A – Box of oranges is inspected by examining three randomly selected oranges drown without replacement. It all the three oranges are good, the box is approved for sale, other wise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approve for sale. [4] 7. A fair coin and an unbiased die are tossed. Let A be the event head appear on the coin and B be the event 3 on the die. Check weather A and B are independent events or not. [4] Page 2 CBSE TEST PAPER-01 CLASS - XII MATHEMATICS (Probability) Topic: Probability 1. In a school there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII given that the chosen student is a girl? [4] 2. A die thrown three times. Events A and B are defined as below. A : 4 on the third throw B : 6 on the first and 5 on the second throw. Find the probability of A given that B has already occurred. [4] 3. Mother, father and son line up at random for a family picture E : Son on one end F : Father in middle Find (E |F) [4] 4. An instructor has a question bank consisting of 300 easy True / False questions, 200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question? [4] 5. If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1 – P ( A' ) P ( B' ). [4] 6. A – Box of oranges is inspected by examining three randomly selected oranges drown without replacement. It all the three oranges are good, the box is approved for sale, other wise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approve for sale. [4] 7. A fair coin and an unbiased die are tossed. Let A be the event head appear on the coin and B be the event 3 on the die. Check weather A and B are independent events or not. [4] 8. Probability of solving specific problem independently by A and B are 1 2 and 1 3 respectively of both try to solve the problem independently, find the probability that (i) the problem is solved (ii) Exactly one of them solves the problem. [4] 9. In a hostel 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected et random. (a) Find the probability that she read neither Hindi nor English news papers. (b) If the reads Hindi news paper, find the probability that she reads English news paper. (c) If she reads English news papers, find the probability that she reads Hindi news paper. [4] 10. Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. What is the probability that first two cards are kings and the third card drawn is ace. [4]Read More

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